Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.2%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
79.7%	79.6%	20.3%	0.1%	0%	0%	0%	7
83.6%	83.5%	16.4%	0.1%	0%	0%	0%	8
90.2%	90.1%	9.8%	0.1%	0%	0%	0%	9
92%	91.9%	8%	0.1%	0%	0%	0%	10
95.2%	95.1%	4.8%	0.1%	0%	0%	0%	11
96%	96%	4%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample816.0ms (10.4%)

Memory

18.6MiB live, 1 284.6MiB allocated

Samples

461.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-sub: 131.0ms (46.3% of total)

ival-add: 80.0ms (28.3% of total)

ival-div: 57.0ms (20.1% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain79.0ms (1%)

Memory

-16.4MiB live, 221.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x y)`
-	-	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`
-	-	`(-.f64 #s(literal 2 binary64) (+.f64 x y))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 5.0ms (41% of total)

ival-div: 4.0ms (32.8% of total)

ival-add: 3.0ms (24.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess87.0ms (1.1%)

Memory

9.9MiB live, 92.1MiB allocated

Algorithm

1×	egg-herbie

Rules

464×	`lower-fma.f64`
464×	`lower-fma.f32`
312×	`unsub-neg`
260×	`div-sub`
226×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	66	47
2	168	46
3	494	45
4	1095	45
5	1632	45
6	1885	45
7	1991	45
8	2049	45
9	2062	45
0	7	9
0	11	9
1	21	9
2	38	9
3	79	9
4	186	9
5	346	9
6	616	9
7	904	9
8	948	9
9	964	9
10	965	9
0	965	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify62.0ms (0.8%)

Memory

-6.7MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Rules

464×	`lower-fma.f64`
464×	`lower-fma.f32`
224×	`lower-*.f64`
224×	`lower-*.f32`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)

localize21.0ms (0.3%)

Memory

8.4MiB live, 47.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (46.6% of total)

ival-div: 2.0ms (31.1% of total)

ival-add: 1.0ms (15.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-16.5MiB live, 23.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- 2 y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- 2 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(+ x y)
2.0ms	y	@	-inf	(- 2 (+ x y))
1.0ms	y	@	inf	(/ (- x y) (- 2 (+ x y)))
1.0ms	x	@	0	(/ (- x y) (- 2 (+ x y)))
1.0ms	y	@	0	(/ (- x y) (- 2 (+ x y)))

simplify295.0ms (3.8%)

Memory

-1.5MiB live, 401.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
4 472×	`lower-*.f64`
4 472×	`lower-*.f32`
2 680×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))) (/.f64 x (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (.f64 y y)) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y) #s(literal -2 binary64))) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 y (/.f64 x x) x)
(* x (+ 1 (/ y x)))
(fma.f64 y (/.f64 x x) x)
(* x (+ 1 (/ y x)))
(fma.f64 y (/.f64 x x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)

rewrite309.0ms (3.9%)

Memory

20.5MiB live, 535.1MiB allocated

Rules

4 750×	`lower-fma.f64`
4 750×	`lower-fma.f32`
4 670×	`lower-*.f64`
4 670×	`lower-*.f32`
4 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	60	20
2	525	20
3	7752	20
0	8474	20

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 607

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)

Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 (/.f64 (-.f64 x y) (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) #s(literal 4 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x y)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x y)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) y))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 y #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) x))
(+.f64 (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))) (.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(+.f64 (.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (.f64 y (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (.f64 x (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (.f64 y y)))) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))) (/.f64 (.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(-.f64 (/.f64 (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y))) (/.f64 (/.f64 (.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(fma.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(fma.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 x (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 x (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 x (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 x (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 x (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 x (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
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(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y)))
(.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (.f64 x x)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 x y) (.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(.f64 (/.f64 (+.f64 x y) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 y) x))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x)))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))

eval428.0ms (5.5%)

Memory: -7.7MiB live, 149.4MiB allocated
Compiler: Compiled 19 615 to 1 840 computations (90.6% saved)

prune114.0ms (1.5%)

Memory

8.5MiB live, 207.7MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	683	11	694
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	683	12	695

Accuracy

100.0%

Counts

695 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	62.8%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
	39.6%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
▶	39.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
	46.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
	51.6%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
	51.7%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
▶	50.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	39.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
▶	38.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 231 to 141 computations (39% saved)

simplify72.0ms (0.9%)

Memory

-3.8MiB live, 33.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 2 (+ x y)) (neg.f64 x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
cost-diff	0	(-.f64 #s(literal 2 binary64) x)
cost-diff	0	(/.f64 x (-.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))

Rules

896×	`lower-fma.f64`
896×	`lower-fma.f32`
528×	`lower-*.f32`
526×	`lower-*.f64`
320×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	128
0	36	128
1	60	126
2	98	126
3	200	126
4	416	126
5	720	126
6	1270	126
7	1890	126
8	2011	126
9	2049	126
10	2056	126
11	2058	126
0	2058	126

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) x) y))
#s(literal 1 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize65.0ms (0.8%)

Memory

-6.0MiB live, 68.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) y)
accuracy	0.01171875	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
accuracy	23.830658555994635	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
accuracy	0	(-.f64 x y)
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
accuracy	38.96287405919224	#s(approx (- 2 (+ x y)) (neg.f64 x))
accuracy	0	(-.f64 #s(literal 2 binary64) x)
accuracy	0.015625	(/.f64 x (-.f64 #s(literal 2 binary64) x))
accuracy	31.985963822203633	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
accuracy	39.18710220817513	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
accuracy	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	0.1484375	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))

Samples

40.0ms

256×

valid

Compiler

Compiled 108 to 17 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 17.0ms (62.9% of total)

ival-div: 5.0ms (18.5% of total)

ival-add: 2.0ms (7.4% of total)

ival-mult: 2.0ms (7.4% of total)

ival-neg: 1.0ms (3.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

15 → 312

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 2 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) x) (patch (-.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- 2 y) (taylor 0 x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- 2 x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/ 1 (- 2 (+ x y)))
0.0ms	x	@	inf	(/ 1 (- 2 (+ x y)))
0.0ms	x	@	0	(/ 1 (- 2 (+ x y)))
0.0ms	y	@	0	(/ 1 (- 2 (+ x y)))
0.0ms	x	@	-inf	(/ 1 (- 2 (+ x y)))

simplify279.0ms (3.6%)

Memory

4.5MiB live, 406.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 584×	`lower-fma.f64`
9 584×	`lower-fma.f32`
5 568×	`lower-*.f64`
5 568×	`lower-*.f32`
4 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	4340
1	1077	4037
2	3221	3919
0	8516	3694

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 303

Calls

Call 1

Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
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(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))

Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)) (.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y (.f64 y y)))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)))) y) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y))
(/ 1 (- 2 y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(fma.f64 x (fma.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
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(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)) (.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y (.f64 y y)))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)))) y) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
2
#s(literal 2 binary64)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 (*.f64 y (/.f64 #s(literal 2 binary64) y)) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 (*.f64 y (/.f64 #s(literal 2 binary64) y)) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 (*.f64 y (/.f64 #s(literal 2 binary64) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))

rewrite385.0ms (4.9%)

Memory

-8.5MiB live, 354.2MiB allocated

Rules

4 414×	`lower-/.f32`
4 406×	`lower-/.f64`
3 982×	`lower-*.f32`
3 980×	`lower-*.f64`
3 868×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	110
0	36	108
1	136	108
2	1024	108
0	8398	108

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 846

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(-.f64 x y)
#s(approx (- 2 (+ x y)) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)

Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)))
(+.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y))))
(+.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y)) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
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(/.f64 (-.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 8 binary64) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y))) (.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) y)))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 y y (.f64 #s(literal -2 binary64) (neg.f64 y))))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) y)))
(.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -2 binary64))))

eval239.0ms (3.1%)

Memory: 14.3MiB live, 312.8MiB allocated
Compiler: Compiled 31 710 to 2 822 computations (91.1% saved)

prune277.0ms (3.5%)

Memory

-24.8MiB live, 331.0MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 321	6	1 327
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	1 325	14	1 339

Accuracy

100.0%

Counts

1 339 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	39.6%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	39.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	24.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
▶	51.6%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	62.7%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y))
	51.7%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
✓	50.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	50.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
	27.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
▶	13.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	13.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
▶	39.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	38.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 220 to 140 computations (36.4% saved)

simplify100.0ms (1.3%)

Memory

-15.3MiB live, 99.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff	0	#s(approx (- 2 y) #s(literal 2 binary64))
cost-diff	0	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y))

Rules

1 240×	`lower-fma.f32`
1 238×	`lower-fma.f64`
760×	`lower-*.f32`
756×	`lower-*.f64`
346×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	172
0	45	172
1	76	170
2	122	170
3	237	170
4	513	170
5	818	170
6	1465	170
7	2289	170
8	2537	170
9	2645	170
10	2686	170
11	2697	170
12	2697	170
0	2697	170

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(literal 1 binary64)
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(-.f64 x y)
x
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
x
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
#s(approx (- 2 y) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(literal 1 binary64)
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(-.f64 x y)
x
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
x
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
#s(approx (- 2 y) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x

localize92.0ms (1.2%)

Memory

33.1MiB live, 104.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	31.14895381791149	#s(approx (- x y) (neg.f64 y))
accuracy	0	(-.f64 x y)
accuracy	0.01171875	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
accuracy	23.830658555994635	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
accuracy	32.17294492499786	#s(approx (- 2 y) #s(literal 2 binary64))
accuracy	0	(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy	0.0078125	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy	31.159123685184372	#s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy	31.985963822203633	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
accuracy	38.88076058030354	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 2 binary64) y)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
accuracy	0.1484375	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y))
accuracy	23.830658555994635	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))

Samples

48.0ms

256×

valid

Compiler

Compiled 122 to 21 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 20.0ms (59% of total)

ival-div: 5.0ms (14.7% of total)

ival-sub: 4.0ms (11.8% of total)

ival-add: 3.0ms (8.8% of total)

ival-neg: 1.0ms (2.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series57.0ms (0.7%)

Memory

-15.6MiB live, 35.6MiB allocated

Counts

18 → 360

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (- 2 y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- 2 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

90 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	(/ 1 (- 2 (+ x y)))
4.0ms	y	@	-inf	(/ (- x y) (- 2 (+ x y)))
0.0ms	x	@	inf	(* x (+ (* x 1/4) 1/2))
0.0ms	x	@	-inf	(* x (+ (* x 1/4) 1/2))
0.0ms	x	@	0	(* x (+ (* x 1/4) 1/2))

simplify450.0ms (5.8%)

Memory

14.7MiB live, 440.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 562×	`lower-fma.f64`
9 562×	`lower-fma.f32`
5 570×	`lower-*.f64`
5 570×	`lower-*.f32`
4 170×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	4585
1	1085	4276
2	3233	4158
0	8539	3915

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 348

Calls

Call 1

Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (fma.f64 y (+.f64 (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y (.f64 y y)))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y) (.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) y)) y))
(/ 1 (- 2 y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(fma.f64 x (fma.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) (.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y)) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) x)) x) (-.f64 #s(literal 2 binary64) y)) x)) x))
(/ 1 (- 2 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
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(* y (- (* 2 (/ 1 y)) 1))
(fma.f64 y (/.f64 #s(literal 2 binary64) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) 1))
(fma.f64 y (/.f64 #s(literal 2 binary64) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) 1))
(fma.f64 y (/.f64 #s(literal 2 binary64) y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (fma.f64 y (+.f64 (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y (.f64 y y)))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y) (.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) y)) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)

rewrite290.0ms (3.7%)

Memory

-8.6MiB live, 390.0MiB allocated

Rules

4 884×	`lower-/.f32`
4 878×	`lower-/.f64`
3 600×	`lower-fma.f32`
3 598×	`lower-fma.f64`
3 528×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	155
0	45	155
1	167	153
2	1194	153
0	8448	153

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

18 → 601

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
(-.f64 x y)
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
#s(approx (- 2 y) #s(literal 2 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) x) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (neg.f64 y)))
(+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (neg.f64 y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 x y) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (neg.f64 y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) x (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (neg.f64 y)))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y)))
(neg.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))
(neg.f64 (/.f64 (-.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (+.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y))))
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(.f64 (/.f64 (+.f64 x y) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x)))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (/.f64 (+.f64 x y) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y (-.f64 y x)))))

eval184.0ms (2.4%)

Memory: -1.3MiB live, 274.2MiB allocated
Compiler: Compiled 21 296 to 2 091 computations (90.2% saved)

prune213.0ms (2.7%)

Memory

-7.3MiB live, 307.3MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1 027	5	1 032
Fresh	2	3	5
Picked	1	4	5
Done	0	4	4
Total	1 030	16	1 046

Accuracy

100.0%

Counts

1 046 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	39.6%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	39.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	24.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	51.6%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	13.5%	(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
	51.6%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- x y) (neg.f64 y)))
▶	51.7%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
✓	50.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
▶	27.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
	13.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
✓	13.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	3.1%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
▶	13.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
✓	39.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	38.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 230 to 137 computations (40.4% saved)

simplify144.0ms (1.8%)

Memory

34.6MiB live, 103.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 4 binary64) (*.f64 x x))
cost-diff	0	(/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
cost-diff	128	(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 2 (+ x y)) (neg.f64 y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
cost-diff	0	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
cost-diff	0	(+.f64 y #s(literal -2 binary64))
cost-diff	0	(/.f64 y (+.f64 y #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))

Rules

1 560×	`lower-fma.f64`
1 560×	`lower-fma.f32`
952×	`lower-*.f32`
946×	`lower-*.f64`
504×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	207
0	49	207
1	85	207
2	129	207
3	190	207
4	386	207
5	638	207
6	1286	207
7	2788	207
8	3198	207
9	3425	207
10	3498	207
11	3575	207
12	3872	207
13	3876	207
14	3876	207
15	3878	207
0	3878	201

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))
(.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))
x
#s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
#s(approx (- 2 y) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x))
(/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x)))
x
(-.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))
(.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))
x
#s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
#s(approx (- 2 y) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))))
(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x)))
x
(-.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
(+.f64 #s(literal 2 binary64) x)
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize84.0ms (1.1%)

Memory

-30.4MiB live, 116.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x))
accuracy	16.14806222749209	(/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x)))
accuracy	31.985963822203633	#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
accuracy	0	(-.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
accuracy	38.56064636893324	#s(approx (- 2 (+ x y)) (neg.f64 y))
accuracy	0.01171875	(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
accuracy	23.830658555994635	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
accuracy	31.14895381791149	#s(approx (- x y) (neg.f64 y))
accuracy	32.17294492499786	#s(approx (- 2 y) #s(literal 2 binary64))
accuracy	0.0078125	(.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))
accuracy	30.52163636908945	#s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64))
accuracy	31.159123685184372	#s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))
accuracy	31.985963822203633	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
accuracy	0	(+.f64 y #s(literal -2 binary64))
accuracy	0.0078125	(/.f64 y (+.f64 y #s(literal -2 binary64)))
accuracy	30.931781147549675	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))

Samples

57.0ms

256×

valid

Compiler

Compiled 135 to 27 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 9.0ms (28.9% of total)

ival-sub: 7.0ms (22.5% of total)

ival-div: 6.0ms (19.3% of total)

ival-mult: 6.0ms (19.3% of total)

exact: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-1.0MiB live, 36.5MiB allocated

Counts

20 → 348

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y #s(literal -2 binary64))) (patch (/.f64 y (+.f64 y #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal -2 binary64)) (patch (+.f64 y #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))) (patch #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))) (patch (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) (neg.f64 y)) (patch #s(approx (- 2 (+ x y)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)) (patch (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (patch (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 4 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 x x)) (patch (-.f64 #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ y (+ y -2))
0.0ms	x	@	inf	(/ x (- 4 (* x x)))
0.0ms	x	@	0	(* (/ x (- 4 (* x x))) (+ 2 x))
0.0ms	x	@	-inf	(/ x (- 4 (* x x)))
0.0ms	y	@	inf	(/ y (+ y -2))

simplify344.0ms (4.4%)

Memory

13.1MiB live, 431.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 820×	`lower-fma.f64`
10 820×	`lower-fma.f32`
4 574×	`lower-+.f64`
4 574×	`lower-+.f32`
4 244×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	4356
1	944	4124
2	2723	3789
0	8343	3588

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 340

Calls

Call 1

Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
-2
(- y 2)
(- y 2)
(- y 2)
y
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* 1/4 x)
(* x (+ 1/4 (* 1/16 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/16 (* 1/64 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 1/64 (* 1/256 (pow x 2))))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 4 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 4 (* 16 (/ 1 (pow x 2)))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 16 (* 64 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 4 (/ 1 (pow x 2))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 4 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (+ (* 4 (/ 1 (pow x 2))) (/ 16 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (* 4 (/ 1 (pow x 2))) (+ (* 64 (/ 1 (pow x 6))) (/ 16 (pow x 4))))) x))
4
(+ 4 (* -1 (pow x 2)))
(+ 4 (* -1 (pow x 2)))
(+ 4 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* -1 (/ y (- 2 y)))
(neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(-.f64 (fma.f64 x (/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 x (-.f64 #s(literal 2 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 x (.f64 x x))) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (neg.f64 (.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y)) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (-.f64 #s(literal 2 binary64) x))) y)) y))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) y)) y) #s(literal -2 binary64)) y))
-2
#s(literal -2 binary64)
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- y 2)
(+.f64 y #s(literal -2 binary64))
y
(* y (- 1 (* 2 (/ 1 y))))
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y)
(* y (- 1 (* 2 (/ 1 y))))
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y)
(* y (- 1 (* 2 (/ 1 y))))
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y)
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y)
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y)
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y)
(* -1 (/ y (- 2 y)))
(neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(-.f64 (fma.f64 x (/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 x (-.f64 #s(literal 2 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 x (.f64 x x))) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (neg.f64 (.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
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(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y)) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (-.f64 #s(literal 2 binary64) x))) y)) y))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* 1/16 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* (pow x 2) (+ 1/16 (* 1/64 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 1/64 (* 1/256 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/256 binary64) #s(literal 1/64 binary64)) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 4 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 4 (* 16 (/ 1 (pow x 2)))) (pow x 2))) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 16 (* 64 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 4 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -64 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 4 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 1 (+ (* 4 (/ 1 (pow x 2))) (/ 16 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal -16 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(* -1 (/ (+ 1 (+ (* 4 (/ 1 (pow x 2))) (+ (* 64 (/ 1 (pow x 6))) (/ 16 (pow x 4))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal -16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
4
#s(literal 4 binary64)
(+ 4 (* -1 (pow x 2)))
(-.f64 #s(literal 4 binary64) (*.f64 x x))
(+ 4 (* -1 (pow x 2)))
(-.f64 #s(literal 4 binary64) (*.f64 x x))
(+ 4 (* -1 (pow x 2)))
(-.f64 #s(literal 4 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(.f64 x (fma.f64 x (/.f64 #s(literal 4 binary64) (.f64 x x)) (neg.f64 x)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(.f64 x (fma.f64 x (/.f64 #s(literal 4 binary64) (.f64 x x)) (neg.f64 x)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(.f64 x (fma.f64 x (/.f64 #s(literal 4 binary64) (.f64 x x)) (neg.f64 x)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(.f64 x (fma.f64 x (/.f64 #s(literal 4 binary64) (.f64 x x)) (neg.f64 x)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(.f64 x (fma.f64 x (/.f64 #s(literal 4 binary64) (.f64 x x)) (neg.f64 x)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1))
(.f64 x (fma.f64 x (/.f64 #s(literal 4 binary64) (.f64 x x)) (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) y) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) y) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 y (/.f64 #s(literal -2 binary64) y) y))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite770.0ms (9.8%)

Memory

9.1MiB live, 464.9MiB allocated

Rules

6 000×	`lower-/.f32`
5 992×	`lower-/.f64`
4 014×	`lower-*.f32`
4 008×	`lower-*.f64`
2 802×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	191
0	49	185
1	211	179
2	1568	179
0	8513	175

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 544

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+.f64 y #s(literal -2 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))
(.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(-.f64 x y)
#s(approx (- 2 (+ x y)) (neg.f64 y))
(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
(/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x)))
(-.f64 #s(literal 4 binary64) (*.f64 x x))
#s(approx (- 2 y) #s(literal 2 binary64))
(*.f64 x x)

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal -2 binary64))))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (-.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (.f64 (-.f64 #s(literal 2 binary64) y) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y))))))
(pow.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y))))
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))))
(.f64 (.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 y (fma.f64 y (.f64 y y) #s(literal -8 binary64))) (-.f64 (fma.f64 y y #s(literal 4 binary64)) (*.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 y (fma.f64 y (.f64 y y) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 4 binary64)) (*.f64 y #s(literal -2 binary64))))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (+.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (.f64 y y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 2 binary64)))))
(+.f64 y #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) y)
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (fma.f64 y (.f64 y y) #s(literal -8 binary64)) (-.f64 (fma.f64 y y #s(literal 4 binary64)) (.f64 y #s(literal -2 binary64))))
(/.f64 (fma.f64 y (.f64 y y) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 y y) (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 y y) (.f64 y #s(literal -2 binary64)))) (fma.f64 y (*.f64 y y) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) y) (-.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64)))))
(/.f64 (fma.f64 y y #s(literal -4 binary64)) (+.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) #s(literal -8 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 4 binary64)) (.f64 y #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 y y) (*.f64 y #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -4 binary64))) (neg.f64 (+.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y #s(literal 2 binary64))) (.f64 (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (+.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 4 binary64)) (.f64 y #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal 2 binary64))) (/.f64 (.f64 y y) (+.f64 y #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 y (.f64 y y) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 4 binary64)) (*.f64 y #s(literal -2 binary64)))))
(.f64 (fma.f64 y (.f64 y y) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 y y) (.f64 y #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64)))
(*.f64 (fma.f64 y y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) y)))
(.f64 (neg.f64 (fma.f64 y (.f64 y y) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 4 binary64)) (*.f64 y #s(literal -2 binary64))))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y #s(literal 2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))
(.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(approx (- x y) (neg.f64 y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(approx (- x y) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(approx (- x y) (neg.f64 y))))))
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eval113.0ms (1.4%)

Memory: 12.9MiB live, 199.7MiB allocated
Compiler: Compiled 17 726 to 1 757 computations (90.1% saved)

prune430.0ms (5.5%)

Memory

-39.7MiB live, 209.0MiB allocated

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	909	3	912
Fresh	2	1	3
Picked	1	4	5
Done	0	8	8
Total	912	16	928

Accuracy

100.0%

Counts

928 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	39.6%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	39.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	24.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	51.6%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	51.7%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
✓	50.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
✓	27.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
	51.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))) y))
	13.1%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
	13.5%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
	13.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
✓	13.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
✓	13.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
✓	39.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	38.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 355 to 146 computations (58.9% saved)

regimes41.0ms (0.5%)

Memory

0.2MiB live, 41.6MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- x y) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (-.f64 x y))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
#s(approx (/ (- x y) (- 2 (+ x y))) (.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Calls

3 calls:

24.0ms	x
8.0ms	y
7.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes22.0ms (0.3%)

Memory

7.4MiB live, 46.4MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))

Calls

3 calls:

9.0ms	x
6.0ms	y
5.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
89.9%	3	`x`
79.9%	3	`y`
99.1%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

14.3MiB live, 14.2MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))

Outputs

#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))

(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))

#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))

Calls

1 calls:

4.0ms

(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
98.4%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))

Calls

1 calls:

3.0ms

(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
89.4%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Memory

-23.5MiB live, 15.4MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))

Outputs

#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))

#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))

#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))

Calls

2 calls:

5.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
4.0ms	x

Results

Accuracy	Segments	Branch
67.0%	3	`x`
88.2%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

9 → 4

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))

Calls

1 calls:

3.0ms

(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
87.8%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))

Outputs

#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))

#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
86.2%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))

Outputs

#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))

#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
86.1%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))

Calls

2 calls:

2.0ms	y
1.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
66.3%	3	`y`
76.3%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes23.0ms (0.3%)

Memory

-28.8MiB live, 9.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Calls

3 calls:

20.0ms	x
1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
38.8%	1	`y`
38.8%	1	`x`
38.8%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.033416702646876004	-0.016314895566193546

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5504635863965488e-40	9.025821241325099e-23
0.0ms	-0.033416702646876004	-0.016314895566193546

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.293141099313111e-73	2.9762743292254493e-63

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9808588001756596e-5	0.952381738763909
0.0ms	9.293141099313111e-73	2.9762743292254493e-63

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.9808588001756596e-5	0.952381738763909
0.0ms	9.293141099313111e-73	2.9762743292254493e-63
0.0ms	-2.3295054850840296e-14	-1.584551787677213e-15

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5504635863965488e-40	9.025821241325099e-23
0.0ms	-2.3295054850840296e-14	-1.584551787677213e-15

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5504635863965488e-40	9.025821241325099e-23
0.0ms	-2.3295054850840296e-14	-1.584551787677213e-15

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch11.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-1.7688686092438645e-298	1.677634055903732e-277

Samples

4.0ms

192×

valid

Compiler

Compiled 134 to 108 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Memory

-19.8MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	512
1	88	512
2	100	512
3	108	512
4	111	512

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/316912650057057350374175801344 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

soundness746.0ms (9.5%)

Memory

38.8MiB live, 578.4MiB allocated

Rules

12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
10 820×	`lower-fma.f64`
10 820×	`lower-fma.f32`
9 584×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	4356
1	944	4124
2	2723	3789
0	8343	3588
0	347	4340
1	1077	4037
2	3221	3919
0	8516	3694
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 430 to 163 computations (62.1% saved)

preprocess72.0ms (0.9%)

Memory: -12.0MiB live, 176.4MiB allocated
Compiler: Compiled 630 to 132 computations (79% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

start0.0ms (0%)

analyze16.0ms (0.2%)

sample816.0ms (10.4%)

explain79.0ms (1%)

preprocess87.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify62.0ms (0.8%)

localize21.0ms (0.3%)

series13.0ms (0.2%)

simplify295.0ms (3.8%)

rewrite309.0ms (3.9%)

eval428.0ms (5.5%)

prune114.0ms (1.5%)

simplify72.0ms (0.9%)

localize65.0ms (0.8%)

series14.0ms (0.2%)

simplify279.0ms (3.6%)

rewrite385.0ms (4.9%)

eval239.0ms (3.1%)

prune277.0ms (3.5%)

simplify100.0ms (1.3%)

localize92.0ms (1.2%)

series57.0ms (0.7%)

simplify450.0ms (5.8%)

rewrite290.0ms (3.7%)

eval184.0ms (2.4%)

prune213.0ms (2.7%)

simplify144.0ms (1.8%)

localize84.0ms (1.1%)

series17.0ms (0.2%)

simplify344.0ms (4.4%)

rewrite770.0ms (9.8%)

eval113.0ms (1.4%)

prune430.0ms (5.5%)

regimes41.0ms (0.5%)

regimes22.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes23.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

simplify17.0ms (0.2%)

soundness746.0ms (9.5%)

preprocess72.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23